Decomposition of potato yield gap in the Andean north of Peru

A crop modeling approach

Background

This repository is designed to provide comprehensive documentation of the R code used for the analysis of yield gap decomposition, integrating both crop modeling and stochastic frontier analysis.

Libraries and extra R-files

The following libraries were used:

# libraries
library(nasapower)
library(meteor)
library(lubridate)
library(dplyr)

Additionally, extra R-files need to be loaded.

# extra R-files
load(url("https://github.com/jninanya/solanumR/raw/refs/heads/main/CropParamsList.Rdata"))
source("https://raw.githubusercontent.com/jninanya/solanumR/refs/heads/main/thermalTime.R")
source("https://raw.githubusercontent.com/jninanya/solanumR/refs/heads/main/SolanumModel.R")

Field experiment and data collection

A field experiment was performed to determine the potential yield of the 5 most common used potato varieties in Chugay, La Libertad, Peru.

Figura 1: Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.
Figura 1: Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.

# Read biomass (BD) and canopy cover (CD) data
BD <- read.csv("https://github.com/jninanya/Potato_Yield_Gap/raw/refs/heads/main/Data/biomass_dataset.csv")
CD <- read.csv("https://github.com/jninanya/Potato_Yield_Gap/raw/refs/heads/main/Data/canopy_cover_dataset.csv")

#head(BD)
#head(CD)

# SUMMARY OF BIOMASS DATA
# Constant to convert kg/plant to t/ha
k = (1/1000)*(1/(0.3*1))*(10000/1)*0.001

# Matter concentration of <organ> (MCX)
BD$MCL <- BD$sDLM/BD$sFLM      # L = leaf
BD$MCS <- BD$sDSM/BD$sFSM      # S = stem
BD$MCR <- BD$sDRM/BD$sFRM      # R = root
BD$MCT <- BD$sDTM/BD$sFTM      # T = tuber
BD$DMC <- BD$MCT                 

# Dry <organ> matter (DXM)
BD$DLM <- BD$FLM*BD$MCL
BD$DSM <- BD$FSM*BD$MCS
BD$DRM <- BD$FRM*BD$MCR
BD$DTM <- BD$FTM*BD$MCT

# Fresh <organ> yield (FXY)
BD$FLY <- BD$FLM*k
BD$FSY <- BD$FSM*k
BD$FRY <- BD$FRM*k
BD$FTY <- BD$FTM*k               

# Dry <organ> yield (DXY)
BD$DLY <- BD$DLM*k
BD$DSY <- BD$DSM*k
BD$DRY <- BD$DRM*k
BD$DTY <- BD$DTM*k

# Total dry matter (TDM) and harvest index (HI)
BD$TDM <- BD$DLY + BD$DSY + BD$DRY + BD$DTY
BD$HI <- BD$DTY/BD$TDM

# Summary: mean and standard error for HI
smrBD <- BD %>%
  group_by(CODE, EVAL, DAP) %>%
  summarise(DLY = mean(DLY, na.rm = TRUE),
            DSY = mean(DSY, na.rm = TRUE),
            DRY = mean(DRY, na.rm = TRUE),
            DTY = mean(DTY, na.rm = TRUE),
            FTY = mean(FTY, na.rm = TRUE),
            TDM = mean(TDM, na.rm = TRUE),
            DMC = mean(DMC, na.rm = TRUE),
            N = sum(!is.na(HI)),
            nd = n(),
            HI_mean = mean(HI, na.rm = TRUE),
            HI_se = sd(HI, na.rm = TRUE)/sqrt(N)
    )

smrBD <- as.data.frame(smrBD)


# SUMMARY OF CANOPY COVER DATA
# Summary: mean and standard error for CC 
smrCD <- CD %>%
  group_by(CODE, DAP) %>%
  summarise(N = sum(!is.na(CC)),
            nd = n(),
            CC_mean = mean(CC, na.rm = TRUE),
            CC_se = sd(CC, na.rm = TRUE)/sqrt(N),
            )

smrCD <- as.data.frame(smrCD)

XX ]

## Biomass by variety
#AMA <- smrBD[smrBD$CODE == "AMA",]
#BRE <- smrBD[smrBD$CODE == "BRE",]
#HUE <- smrBD[smrBD$CODE == "HUE",]
#POD <- smrBD[smrBD$CODE == "POD",]
#YUN <- smrBD[smrBD$CODE == "YUN",]
#
#par(mfrow = c(1,5),
#    oma = c(3,3,5,1.),
#    mar = c(0.0,0.0,0.0,0.0),
#    las = 1, pty = "s", cex = 0.8,
#    xaxt = "s", yaxt = "n", pch=19, lty = 2)
#
#with(AMA, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(BRE, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(HUE, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(POD, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(YUN, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#


smrCD <- CD %>%
  group_by(CODE, DAP) %>%
  summarise(N = sum(!is.na(CC)),
            nd = n(),
            CC_mean = mean(CC, na.rm = TRUE),
            CC_se = sd(CC, na.rm = TRUE)/sqrt(N),
            )


AMA <- smrCD[smrCD$CODE=="AMA",]
BRE <- smrCD[smrCD$CODE=="BRE",]
HUE <- smrCD[smrCD$CODE=="HUE",]
POD <- smrCD[smrCD$CODE=="POD",]
YUN <- smrCD[smrCD$CODE=="YUN",]

# General plot settings for CC
par(oma    = c(4.5, 4.5, 0.5, 3),  # general margins
    mfrow  = c(1, 5),                # number of sub-figures
    mar    = c(0, 0, 0, 0),          # margins per sub-figure
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 19,                     # plotting points
    cex    = 0.8
)

pC <- "blue" 
xT <- unique(CD$DAP)
yL <- c(0,100) 


with(AMA, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(AMA, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2); axis(4, labels=FALSE);axis(1)
mtext(side=2, "Canopy cover (%)", line=3, las=0)

with(BRE, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(BRE, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)

with(HUE, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(HUE, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)
mtext(side=1, "Days after planting", line=3)

with(POD, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(POD, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)

with(YUN, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(YUN, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4);axis(1)

Figura 1: Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.
Figura 1: Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.

wvars <- c("T2M_MAX", "T2M_MIN", "ALLSKY_SFC_SW_DWN")
period <- c("2000-01-01", "2023-12-31")

# coordinates (lon, lat) of the Fultola location
FUL <- c(89.5262, 22.7088) 

# get daily data from NASA POWER 
wdata <- get_power(
  community = "ag",
  lonlat = FUL,
  pars = wvars,
  dates = period,
  temporal_api = "daily"
)

# change column names and photoperiod computation
colnames(wdata)[8:10] <- c("TMAX", "TMIN", "SRAD")
wdata$DATE <- wdata$YYYYMMDD
wdata$SUNSH <- photoperiod(wdata$DOY, wdata$LAT)

# CLIMATIC CONDITIONS FOR THE 2000-2020 PERIOD
# average wdata by DOY
smr_ave <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), mean, na.rm = TRUE)

# quantile 10
smr_q10 <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), quantile, probs = 0.10, na.rm = TRUE)

# quantile 90
smr_q90 <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), quantile, probs = 0.90, na.rm = TRUE)

# select DOY from 1 to 365 (DOY = 366 is not considered)
smr_ave <- smr_ave[1:365,]
smr_q10 <- smr_q10[1:365,]
smr_q90 <- smr_q90[1:365,]

Climatic condition show XX. Click on code to see the R chunk code for the plot below.

# general plot settings
par(oma    = c(2.5, 3.5, 0.5, 3.5),  # general margins
    mfrow  = c(1, 2),                # number of sub-figures
    mar    = c(0, 0.25, 0, 0.25),    # margins per sub-figure
    ps     = 10,                     # text font size
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 20                      # plotting points
)

# x-axis tick marks and labels
x <- smr_ave$DOY
xtick <- c(15, 75, 136, 197, 259, 320)
xlabs <- c("JAN", "MAR", "MAY", "JUL", "SEP", "NOV")

# PLOT MINIMUM AND MAXIMUM TEMPERATURES
# create an empty plot
plot(x = 0, y = 0, xlim = c(1, 365), ylim = c(5, 45), xlab = "", ylab = "", 
     type = "l", axes = FALSE)
box()
axis(1, at = xtick,  labels = xlabs)
axis(2, las = 1)
mtext(side = 2, text = quote("Temperature (°C)"), 
      las = 0, line = 2.4, cex = 1.5)

# add minimum temperature to empty plot
polygon(c(x, rev(x)), c(smr_q90$TMIN, rev(smr_q10$TMIN)), col = "#ffb2b2")
lines(x, smr_ave$TMIN, col = "#FF0000", lwd = 2)
lines(x, smr_q10$TMIN, col = "#ffb2b2")
lines(x, smr_q90$TMIN, col = "#ffb2b2")

# add maximum temperature to empty plot
polygon(c(x, rev(x)), c(smr_q90$TMAX, rev(smr_q10$TMAX)), col = "#b2b2ff")
lines(x, smr_ave$TMAX, col = "#0000FF", lwd = 2)
lines(x, smr_q10$TMAX, col = "#b2b2ff")
lines(x, smr_q90$TMAX, col = "#b2b2ff")

# add legend
legend(x = "topright", legend = c("TMAX", "TMIN"), 
       col = c("#0000FF", "#FF0000"), lty = 1, cex = 0.8, lwd = 1.5)

# PLOT SOLAR RADIATION
# create an empty plot
plot(x = 0, y = 0, type = "l", xlim = c(1, 365), ylim = c(0, 30), 
     xlab = "", ylab = "", axes = FALSE)
box()
axis(1, at = xtick, labels = xlabs)
axis(4, las = 1)
mtext(side = 4, text = quote("Radiation (MJ m"^{-2}*")"), 
      las = 0, line = 2.4, cex = 1.5)

# add solar radiation data to empty plot
polygon(c(x, rev(x)), c(smr_q90$SRAD, rev(smr_q10$SRAD)), col = "#e8cfb4")
lines(x, smr_ave$SRAD, col = "#B45F06", lwd = 2)
lines(x, smr_q10$SRAD, col = "#e8cfb4")
lines(x, smr_q90$SRAD, col = "#e8cfb4")

# add legend
legend(x = "topright", legend = "SRAD", col = "#B45F06", 
       lty = 1, cex = 0.8, lwd = 1.5)

Biass correction of weather data

# data for model calibration
climate <- apply(smr_ave, 2, rep, 2)
climate <- as.data.frame(climate)

year1 = fromDoy(climate$DOY[1:365], 2021)
year2 = fromDoy(climate$DOY[366:730], 2022)

climate$day <- NULL
climate$month <- NULL
climate$year <- NULL
climate$day[1:365] <- day(year1)
climate$day[366:730] <- day(year2)
climate$month[1:365] <- month(year1)
climate$month[366:730] <- month(year2)
climate$year[1:365] <- year(year1)
climate$year[366:730] <- year(year2)

climate <- climate[,c("day", "month", "year", "DOY", "TMAX", "TMIN", "SRAD")]

SOLANUM model calibration

The SOLANUM model has a tool called Parameter Estimator which translates expert knowledge about the crop phenology into the model parameters. This tool is based on allometric and heuristic methods that relate mathematical functions of the vegetative (canopy cover) and reproductive (tuber partitioning) crop growth with the parameters of the model. This tool is based on the following 3 principles:

  • Use generic mathematical functions to describe either canopy cover or tuber formation, regardless of varieties or environmental conditions, but with specific parameters that vary depending on varieties.
  • Apply numerical methods to estimate specific parameters by forcing the function to fit a minimum number of data points.
  • The pre-defined minimum number of data points needed to fit the functions must be obtained from expert knowledge. This comprises sowing and harvest dates, day of emergence, day of the maximum canopy cover, maximum canopy cover index, day of physiological maturity, and day of tuber initiation.

More details about the Parameter Estimator tool can be found in Harahagazwe et al. (2018).

Table 1. Crop phenology information used as input to the SOLANUM Parameter Estimator tool for model calibration. DAP = Days after planting.
DESCRIPTION BARI-ALU72 BARI-ALU78
Distance between plants (cm) 25 25
Distance between rows (cm) 60 60
Planting date 11th November 11th November
Emergency day (DAP) 12 14
Tuber initiation onset (DAP) 35 35
Time when plant reach its maximum canopy cover (DAP) 60 60
Harvest day (DAP) 90 90
Approximate value of the maximum canopy cover (fraction) 0.92 0.85
Yield at 70 DAP (t/ha) 28 25
Yield at harvest day (t/ha) 35 32
Dry matter concentration (%) 22.50 21.54
Figura 1: Parameter Estimator tool of the SOLANUM model.
Figura 1: Parameter Estimator tool of the SOLANUM model.

The Parameter Estimated tool was run with using information about crop phenology from literature (Mahmud et al. 2021, Islam et al. 2022) and from expert knowdledge (R. Ebna and H. Monower; personal comunication; 6 February 2024). Values of the crop parameters for both varieties were saved in CropParamsList.Rdata. Let’s see them in the following R chunk code:

load(url("https://github.com/jninanya/Ramirez-et-al-2024/raw/main/solanumR/CropParamsList.Rdata"))

CropParamsList$BariAlu72
##   wmax     tm     te      A     tu      b    RUE    DMc 
##   0.90 330.00 870.00   0.75 650.00 190.00   3.22   0.20 
## attr(,"CropParamsInfo")
## [1] "wmax : Maximum canopy cover index (fraction)"                        
## [2] "tm   : Thermal time at the maximum canopy cover growth rate (C-day)" 
## [3] "te   : Thermal time at the maximum canopy cover value (C-day)"       
## [4] "A    : Maximum harvest index (fraction)"                             
## [5] "tu   : Thermal time at maximum tuber partition rate (C-day)"         
## [6] "b    : Thermal time just before the tuber initiation process (C-day)"
## [7] "RUE  : Average radiation use efficiency (g/MJ)"                      
## [8] "DMc  : Dry matter concentration of tubers (fraction)"                
## attr(,"VarietyName")
## [1] "BariAlu72"

CropParamsList$BariAlu78
##   wmax     tm     te      A     tu      b    RUE    DMc 
##   0.90 330.00 870.00   0.75 650.00 190.00   3.22   0.20 
## attr(,"CropParamsInfo")
## [1] "wmax : Maximum canopy cover index (fraction)"                        
## [2] "tm   : Thermal time at the maximum canopy cover growth rate (C-day)" 
## [3] "te   : Thermal time at the maximum canopy cover value (C-day)"       
## [4] "A    : Maximum harvest index (fraction)"                             
## [5] "tu   : Thermal time at maximum tuber partition rate (C-day)"         
## [6] "b    : Thermal time just before the tuber initiation process (C-day)"
## [7] "RUE  : Average radiation use efficiency (g/MJ)"                      
## [8] "DMc  : Dry matter concentration of tubers (fraction)"                
## attr(,"VarietyName")
## [1] "BariAlu78"

Determination of optimum planting date

Determination of potential yields

#-------------------------------------------------------------------------------
# 5. Historical yield at 80 and 90 DAP 
#-------------------------------------------------------------------------------
# consider 20 years
nyears <- 2000:2019

swgDates <- c("2021-12-20", "2021-12-12", "2021-12-20", "2021-12-12",
              "2022-12-14", "2022-12-31", "2022-12-14", "2022-12-31")
hvtDates <- c("2022-03-27", "2022-03-27", "2022-03-27", "2022-03-27",
              "2023-03-16", "2023-03-16", "2023-03-16", "2023-03-16")
hvtDAP <- c(97, 105, 97, 105, 92, 75, 92, 75)

CP <- CropParamsList[c("BariAlu72", "BariAlu78")]
CParams <- list(CP[[1]], CP[[1]], CP[[2]], CP[[2]], 
                CP[[1]], CP[[1]], CP[[2]], CP[[2]])  
emgDays <- c(12, 12, 14, 14, 12, 12, 14, 14)

wdata <- as.data.frame(wdata)

o1 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))
o2 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))
o3 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))

cname <-   c("ZTV1S1", "CTV1S1", "ZTV2S1", "CTV2S1",
             "ZTV1S2", "CTV1S2", "ZTV2S2", "CTV2S2")

colnames(o1) <- colnames(o2) <- colnames(o3) <- cname
rownames(o1) <- rownames(o2) <- rownames(o3) <- nyears

for(i in 1:length(nyears)){
  
  for(j in 1:8){
    
    swg <- swgDates[j]
    hvt <- hvtDates[j]
    weather <- wdata
    sowing <- paste(nyears[i], month(swg), day(swg), sep = "-")
    #harvest <- paste(nyears[i]+1, month(hvt), day(hvt), sep = "-")
    harvest <- as.Date(sowing) + hvtDAP[j]
    EDay <- emgDays[j]
    plantDensity = 12.5
    CropParams <- CParams[[j]]
    
    res <- SolanumModel(weather, sowing, harvest, EDay,plantDensity, CropParams)
    nn <- nrow(res)
    o1[i, j] <- as.character(res$date[1])
    o2[i, j] <- round(res$fty[nn], 1)
    o3[i, j] <- round(res$tdm[nn], 1)
    
  }
}

c1 <- list(date = o1, fty = o2, tdm = o3)


#-------------------------------------------------------------------------------
# 9. Final plot
#-------------------------------------------------------------------------------
# general plot settings
par(oma    = c(3.0, 4.2, 2.0, 4.2),  # general margins
    mfrow  = c(1, 2),                # number of sub-figures
    mar    = c(0.8, 0.1, 0.1, 0.1),  # margins per sub-figure
    ps     = 10,                     # text font size
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 20                      # plotting points
)

xT <- c(10, 25, 40, 55, 71, 86)
xL <- c("10-Nov", "25-Nov", "10-Dec", "25-Dec", "10-Jan", "25-Jan")

# sub-figure A
b1 = boxplot(c1$fty[, 1:2], xlim = c(0.5,4.7), ylim = c(28, 47), 
             at = 1:2, axes = FALSE, boxwex = 0.6)
b2 = boxplot(c1$fty[, 3:4], add = TRUE, at = c(3.2, 4.2), 
             axes = FALSE, boxwex = 0.6)
box()
axis(side = 2)
mtext(side = 2, text = bquote("YP (t ha"^{-1}*")"), las = 0, 
      line = 2.4, cex = 1.2)
text(x = 0.5+0.025*(4.7-0.5), y = 47-0.050*(47-28), 
     labels = bquote(bold("A)")))

axis(side = 1, at = c(1,2,3.2,4.2), 
     labels = c("ZT_BA72", "CT_BA72", "ZT_BA78", "CT_BA78"), cex.axis = 1.2)


# sub-figure B
b1 = boxplot(c1$fty[, 5:6], xlim = c(0.5,4.7), ylim = c(28, 47), 
             at = 1:2, axes = FALSE, boxwex = 0.6)
b2 = boxplot(c1$fty[, 7:8], add = TRUE, at = c(3.2, 4.2), 
             axes = FALSE, boxwex = 0.6)
box()
axis(side = 4) 
mtext(side = 4, text = bquote("YP (t ha"^{-1}*")"), las = 0, 
      line = 3.0, cex = 1.2)
text(x = 0.5+0.025*(4.7-0.5), y = 47-0.050*(47-28), 
     labels = bquote(bold("B)")))

axis(side = 1, at = c(1,2,3.2,4.2), 
     labels = c("ZT_BA72", "CT_BA72", "ZT_BA78", "CT_BA78"), cex.axis = 1.2)

Survey data collection

################################################################################
# 3. Thermal time computing
################################################################################
year0 = 2000
year1 = 2022
n <- as.Date("2023-01-31")-as.Date("2022-11-01")+1
m <- year1-year0+1

#wdata <- wdata[wdata$YEAR>=year0 & wdata$YEAR<=year1,]

out0 <- as.data.frame(matrix(nrow = n, ncol = m))
out1 <- as.data.frame(matrix(nrow = n, ncol = m))
out2 <- as.data.frame(matrix(nrow = n, ncol = m))
yy = seq(year0, year1, by = 1)

# load extra functions




weather <- wdata

#for(jj in 1:m){
#  
#  date0 = as.Date(paste0(yy[jj], "-11-01"))-1
#  
#  for(ii in 1:n){
#  
#    
#    sDate = as.Date(date0 + ii)
#    sDate.name = paste(month(sDate), day(sDate), sep = "-")
#    out0[ii, jj] = as.character(sDate)
#    
#    sowing = sDate
#    harvest = sowing + 90
#    ndays = as.numeric(harvest-sowing)+1
#    
### variety Bari Alu 72    
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/BARI-Alu-72.R")
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/Module_PotentialGrowth_V2.0.R")
#    
#    out1[ii, jj] = ifelse(df$fty[ndays]>20, df$fty[ndays], NA)
#    
### variety Bari Alu 78
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/BARI-Alu-78.R")
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/Module_PotentialGrowth_V2.0.R")
#    
#    out2[ii, jj] = ifelse(df$fty[ndays]>20, df$fty[ndays], NA)
#    
#    rownames(out0)[ii] = sDate.name
#    rownames(out1)[ii] = sDate.name
#    rownames(out2)[ii] = sDate.name
#  }
#  
#  colnames(out0)[jj] = yy[jj]
#  colnames(out1)[jj] = yy[jj]
#  colnames(out2)[jj] = yy[jj]
#  
#}

#d1 <- out1
#d2 <- out2
#
#boxplot(t(d1), col = "green", outline = FALSE, las=1,
#        ylab = "potential yield (t/ha)")
#
#boxplot(t(d2), col = "red", outline = FALSE, las=1,
#        ylab = "potential yield (t/ha)")
#
#
### plot fty by planting date
#x <- 1:92
#fty_mean <- apply(out1, 1, mean, na.rm = TRUE)
#fty_q10 <- apply(out1, 1, quantile, probs = 0.10, na.rm = TRUE)
#fty_q90 <- apply(out1, 1, quantile, probs = 0.90, na.rm = TRUE)
#
#
##--------------------------------------------------
##--------------------------------------------------
#### General figure settings
#par(oma = c(4, 1, 0.5, 0.5),  # general margins
#    mfrow = c(2, 1),              # number of sub-figures
#    mar = c(0,3,0,0),           # margins per sub-figure
##    ps = 10,                      # text font size
#    family = "serif"              # text family
##    lwd = 0.5,                    # line width
##    las = 1,                      # style of axis labels
##    pch = 20                      # plotting points
#)
#
#x=1:90
#y1=d1$`2021`[1:90]
#y2=d2$`2021`[1:90]
#plot(x, y1, type = "l", xlim = c(1,92), ylim = c(23,57), 
#     xlab = "", ylab = "potential yield (t/ha)", axes = FALSE, 
#     lwd = 2)
#box()
#lines(x, y2, lwd = 2, col = "gray50")
#
##axis(1, at = c(5,15,25,35,45,55,66,76,86), las = 2,
##     labels = c("5-nov","15-nov","25-nov","5-dec","15-dec","25-dec#","5-jan","15-jan","25-jan"))
##axis(1, las = 1, at = seq(5, 90, by=10))
#axis(2, las = 1, at=seq(25,55,by=5))
#abline(v=50, lty = 2, col = "blue")
#abline(v=74, lty = 2, col = "blue")
#
#text(47, 55.5, "ZT", col = "blue")
#text(71, 55.5, "CT", col = "blue")
#
#text(0, 55.5, expression(bold("A")))
#mtext(side=2, text=bquote("yield (t ha"^{"-1"}*")"), cex = 1.5, #line = 2.4)
#
####
#x=1:85
#y1=d1$`2022`[1:85]
#y2=d2$`2022`[1:85]
#plot(x, y1, type = "l", xlim = c(1,92), ylim = c(23,52), 
#     xlab = "", ylab = "potential yield (t/ha)", axes = FALSE, 
#     lwd = 2)
#box()
#lines(x, y2, lwd = 2, col = "gray50")
#
#axis(1, at = c(5,15,25,35,45,55,66,76,86), las = 2,
#     labels = c("05-nov","15-nov","25-nov","05-dec","15-dec","25-de#c","05-jan","15-jan","25-jan"))
##axis(1, las = 1, at = seq(5, 90, by=10))
#axis(2, las = 1, at=seq(25,50,by=5))
#abline(v=44, lty = 2, col = "blue")
#abline(v=62, lty = 2, col = "blue")
#
#text(41, 51, "ZT", col = "blue")
#text(59, 51, "CT", col = "blue")
#
#text(0, 51, expression(bold("B")))
#
#mtext(side=2, text=bquote("yield (t ha"^{"-1"}*")"), cex = 1.5, #line = 2.4)
#

Stochastic Frontier Analysis

---
title: "Decomposition of potato yield gap in the Andean north of Peru"
subtitle: "A crop modeling approach"
author: "Johan Ninanya (noni)"
date: "`r Sys.Date()`"
#site: bookdown::bookdown_site
#documentclass: book
output:
  rmdformats::readthedown:
    highlight: kate
    number_sections: FALSE
    code_folding: show
    code_download: TRUE
---

```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE, warning = FALSE, message = FALSE)
```

## Background

This repository is designed to provide comprehensive documentation of the R code used for the analysis of yield gap decomposition, integrating both crop modeling and stochastic frontier analysis.


## Libraries and extra R-files

The following libraries were used:

```{r}
# libraries
library(nasapower)
library(meteor)
library(lubridate)
library(dplyr)
```

Additionally, extra R-files need to be loaded. 

```{r}
# extra R-files
load(url("https://github.com/jninanya/solanumR/raw/refs/heads/main/CropParamsList.Rdata"))
source("https://raw.githubusercontent.com/jninanya/solanumR/refs/heads/main/thermalTime.R")
source("https://raw.githubusercontent.com/jninanya/solanumR/refs/heads/main/SolanumModel.R")

```


## Field experiment and data collection

A field experiment was performed to determine the potential yield of the 5 most common used potato varieties in Chugay, La Libertad, Peru. 

<!-- Figure 01 -->
<a id="Figure01"></a>
<div style="text-align:center;">
  ![**Figura 1:** Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.](https://github.com/jninanya/Potato_Yield_Gap/blob/main/Figures/Field_experiment.png?raw=true){width=81%}
  <p style="margin-bottom: 10px;"></p> <!-- Add some space below the image caption -->
</div>

```{r}
# Read biomass (BD) and canopy cover (CD) data
BD <- read.csv("https://github.com/jninanya/Potato_Yield_Gap/raw/refs/heads/main/Data/biomass_dataset.csv")
CD <- read.csv("https://github.com/jninanya/Potato_Yield_Gap/raw/refs/heads/main/Data/canopy_cover_dataset.csv")

#head(BD)
#head(CD)

# SUMMARY OF BIOMASS DATA
# Constant to convert kg/plant to t/ha
k = (1/1000)*(1/(0.3*1))*(10000/1)*0.001

# Matter concentration of <organ> (MCX)
BD$MCL <- BD$sDLM/BD$sFLM      # L = leaf
BD$MCS <- BD$sDSM/BD$sFSM      # S = stem
BD$MCR <- BD$sDRM/BD$sFRM      # R = root
BD$MCT <- BD$sDTM/BD$sFTM      # T = tuber
BD$DMC <- BD$MCT                 

# Dry <organ> matter (DXM)
BD$DLM <- BD$FLM*BD$MCL
BD$DSM <- BD$FSM*BD$MCS
BD$DRM <- BD$FRM*BD$MCR
BD$DTM <- BD$FTM*BD$MCT

# Fresh <organ> yield (FXY)
BD$FLY <- BD$FLM*k
BD$FSY <- BD$FSM*k
BD$FRY <- BD$FRM*k
BD$FTY <- BD$FTM*k               

# Dry <organ> yield (DXY)
BD$DLY <- BD$DLM*k
BD$DSY <- BD$DSM*k
BD$DRY <- BD$DRM*k
BD$DTY <- BD$DTM*k

# Total dry matter (TDM) and harvest index (HI)
BD$TDM <- BD$DLY + BD$DSY + BD$DRY + BD$DTY
BD$HI <- BD$DTY/BD$TDM

# Summary: mean and standard error for HI
smrBD <- BD %>%
  group_by(CODE, EVAL, DAP) %>%
  summarise(DLY = mean(DLY, na.rm = TRUE),
            DSY = mean(DSY, na.rm = TRUE),
            DRY = mean(DRY, na.rm = TRUE),
            DTY = mean(DTY, na.rm = TRUE),
            FTY = mean(FTY, na.rm = TRUE),
            TDM = mean(TDM, na.rm = TRUE),
            DMC = mean(DMC, na.rm = TRUE),
            N = sum(!is.na(HI)),
            nd = n(),
            HI_mean = mean(HI, na.rm = TRUE),
            HI_se = sd(HI, na.rm = TRUE)/sqrt(N)
    )

smrBD <- as.data.frame(smrBD)


# SUMMARY OF CANOPY COVER DATA
# Summary: mean and standard error for CC 
smrCD <- CD %>%
  group_by(CODE, DAP) %>%
  summarise(N = sum(!is.na(CC)),
            nd = n(),
            CC_mean = mean(CC, na.rm = TRUE),
            CC_se = sd(CC, na.rm = TRUE)/sqrt(N),
            )

smrCD <- as.data.frame(smrCD)

```

XX
]

```{r}
## Biomass by variety
#AMA <- smrBD[smrBD$CODE == "AMA",]
#BRE <- smrBD[smrBD$CODE == "BRE",]
#HUE <- smrBD[smrBD$CODE == "HUE",]
#POD <- smrBD[smrBD$CODE == "POD",]
#YUN <- smrBD[smrBD$CODE == "YUN",]
#
#par(mfrow = c(1,5),
#    oma = c(3,3,5,1.),
#    mar = c(0.0,0.0,0.0,0.0),
#    las = 1, pty = "s", cex = 0.8,
#    xaxt = "s", yaxt = "n", pch=19, lty = 2)
#
#with(AMA, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(AMA, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(BRE, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(BRE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(HUE, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(HUE, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(POD, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(POD, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#
#with(YUN, plot(x=c(0,DAP), y=c(0,DRY), ylim=c(0,22), type="l"))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY)))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY)))
#with(YUN, lines(x=c(0,DAP), y=c(0,DRY+DSY+DLY+DTY)))
#


smrCD <- CD %>%
  group_by(CODE, DAP) %>%
  summarise(N = sum(!is.na(CC)),
            nd = n(),
            CC_mean = mean(CC, na.rm = TRUE),
            CC_se = sd(CC, na.rm = TRUE)/sqrt(N),
            )


AMA <- smrCD[smrCD$CODE=="AMA",]
BRE <- smrCD[smrCD$CODE=="BRE",]
HUE <- smrCD[smrCD$CODE=="HUE",]
POD <- smrCD[smrCD$CODE=="POD",]
YUN <- smrCD[smrCD$CODE=="YUN",]

# General plot settings for CC
par(oma    = c(4.5, 4.5, 0.5, 3),  # general margins
    mfrow  = c(1, 5),                # number of sub-figures
    mar    = c(0, 0, 0, 0),          # margins per sub-figure
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 19,                     # plotting points
    cex    = 0.8
)

pC <- "blue" 
xT <- unique(CD$DAP)
yL <- c(0,100) 


with(AMA, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(AMA, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2); axis(4, labels=FALSE);axis(1)
mtext(side=2, "Canopy cover (%)", line=3, las=0)

with(BRE, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(BRE, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)

with(HUE, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(HUE, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)
mtext(side=1, "Days after planting", line=3)

with(POD, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(POD, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4, labels=FALSE);axis(1)

with(YUN, plot(x=DAP, y=CC_mean, ylim=yL, col=pC, axes=FALSE, xlab="", ylab=""))
with(YUN, lines(x=DAP, y=CC_mean, lty=2, col=pC))
box(); axis(2,labels=FALSE); axis(4);axis(1)

```


<!-- Figure 02 -->
<a id="Figure02"></a>
<div style="text-align:center;">
  ![**Figura 1:** Field experiment to determine potential yield of the most common potato varieties in Chugay Distric, La-Libertad region, Peru.](https://github.com/jninanya/Potato_Yield_Gap/blob/main/Figures/Canopy_covertime_series.png?raw=true){width=81%}
  <p style="margin-bottom: 10px;"></p> <!-- Add some space below the image caption -->
</div>

```{r}


wvars <- c("T2M_MAX", "T2M_MIN", "ALLSKY_SFC_SW_DWN")
period <- c("2000-01-01", "2023-12-31")

# coordinates (lon, lat) of the Fultola location
FUL <- c(89.5262, 22.7088) 

# get daily data from NASA POWER 
wdata <- get_power(
  community = "ag",
  lonlat = FUL,
  pars = wvars,
  dates = period,
  temporal_api = "daily"
)

# change column names and photoperiod computation
colnames(wdata)[8:10] <- c("TMAX", "TMIN", "SRAD")
wdata$DATE <- wdata$YYYYMMDD
wdata$SUNSH <- photoperiod(wdata$DOY, wdata$LAT)

# CLIMATIC CONDITIONS FOR THE 2000-2020 PERIOD
# average wdata by DOY
smr_ave <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), mean, na.rm = TRUE)

# quantile 10
smr_q10 <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), quantile, probs = 0.10, na.rm = TRUE)

# quantile 90
smr_q90 <- wdata[wdata$YEAR >= 2000 & wdata$YEAR <= 2020, ] %>%
  group_by(DOY) %>%
  summarise_at(c("TMAX", "TMIN", "SRAD"), quantile, probs = 0.90, na.rm = TRUE)

# select DOY from 1 to 365 (DOY = 366 is not considered)
smr_ave <- smr_ave[1:365,]
smr_q10 <- smr_q10[1:365,]
smr_q90 <- smr_q90[1:365,]

```

Climatic condition show XX. Click on `code` to see the R chunk code for the plot below. 

```{r class.source='fold-hide', results='hold'}
# general plot settings
par(oma    = c(2.5, 3.5, 0.5, 3.5),  # general margins
    mfrow  = c(1, 2),                # number of sub-figures
    mar    = c(0, 0.25, 0, 0.25),    # margins per sub-figure
    ps     = 10,                     # text font size
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 20                      # plotting points
)

# x-axis tick marks and labels
x <- smr_ave$DOY
xtick <- c(15, 75, 136, 197, 259, 320)
xlabs <- c("JAN", "MAR", "MAY", "JUL", "SEP", "NOV")

# PLOT MINIMUM AND MAXIMUM TEMPERATURES
# create an empty plot
plot(x = 0, y = 0, xlim = c(1, 365), ylim = c(5, 45), xlab = "", ylab = "", 
     type = "l", axes = FALSE)
box()
axis(1, at = xtick,  labels = xlabs)
axis(2, las = 1)
mtext(side = 2, text = quote("Temperature (°C)"), 
      las = 0, line = 2.4, cex = 1.5)

# add minimum temperature to empty plot
polygon(c(x, rev(x)), c(smr_q90$TMIN, rev(smr_q10$TMIN)), col = "#ffb2b2")
lines(x, smr_ave$TMIN, col = "#FF0000", lwd = 2)
lines(x, smr_q10$TMIN, col = "#ffb2b2")
lines(x, smr_q90$TMIN, col = "#ffb2b2")

# add maximum temperature to empty plot
polygon(c(x, rev(x)), c(smr_q90$TMAX, rev(smr_q10$TMAX)), col = "#b2b2ff")
lines(x, smr_ave$TMAX, col = "#0000FF", lwd = 2)
lines(x, smr_q10$TMAX, col = "#b2b2ff")
lines(x, smr_q90$TMAX, col = "#b2b2ff")

# add legend
legend(x = "topright", legend = c("TMAX", "TMIN"), 
       col = c("#0000FF", "#FF0000"), lty = 1, cex = 0.8, lwd = 1.5)

# PLOT SOLAR RADIATION
# create an empty plot
plot(x = 0, y = 0, type = "l", xlim = c(1, 365), ylim = c(0, 30), 
     xlab = "", ylab = "", axes = FALSE)
box()
axis(1, at = xtick, labels = xlabs)
axis(4, las = 1)
mtext(side = 4, text = quote("Radiation (MJ m"^{-2}*")"), 
      las = 0, line = 2.4, cex = 1.5)

# add solar radiation data to empty plot
polygon(c(x, rev(x)), c(smr_q90$SRAD, rev(smr_q10$SRAD)), col = "#e8cfb4")
lines(x, smr_ave$SRAD, col = "#B45F06", lwd = 2)
lines(x, smr_q10$SRAD, col = "#e8cfb4")
lines(x, smr_q90$SRAD, col = "#e8cfb4")

# add legend
legend(x = "topright", legend = "SRAD", col = "#B45F06", 
       lty = 1, cex = 0.8, lwd = 1.5)

```

## Biass correction of weather data

```{r}
# data for model calibration
climate <- apply(smr_ave, 2, rep, 2)
climate <- as.data.frame(climate)

year1 = fromDoy(climate$DOY[1:365], 2021)
year2 = fromDoy(climate$DOY[366:730], 2022)

climate$day <- NULL
climate$month <- NULL
climate$year <- NULL
climate$day[1:365] <- day(year1)
climate$day[366:730] <- day(year2)
climate$month[1:365] <- month(year1)
climate$month[366:730] <- month(year2)
climate$year[1:365] <- year(year1)
climate$year[366:730] <- year(year2)

climate <- climate[,c("day", "month", "year", "DOY", "TMAX", "TMIN", "SRAD")]

```


## SOLANUM model calibration

The SOLANUM model has a tool called **Parameter Estimator** which translates expert knowledge about the crop phenology into the model parameters. This tool is based on allometric and heuristic methods that relate mathematical functions of the vegetative (canopy cover) and reproductive (tuber partitioning) crop growth with the parameters of the model. This tool is based on the following 3 principles:

* Use generic mathematical functions to describe either canopy cover or tuber formation, regardless of varieties or environmental conditions, but with specific parameters that vary depending on varieties.
* Apply numerical methods to estimate specific parameters by forcing the function to fit a minimum number of data points.
* The pre-defined minimum number of data points needed to fit the functions must be obtained from expert knowledge. This comprises sowing and harvest dates, day of emergence, day of the maximum canopy cover, maximum canopy cover index, day of physiological maturity, and day of tuber initiation.

More details about the Parameter Estimator tool can be found in [Harahagazwe et al. (2018)](#Harahagazwe-et-al-2018).

```{r echo=FALSE, results='asis'}
y1 <- c("Distance between plants (cm)", "Distance between rows (cm)", "Planting date", "Emergency day (DAP)", "Tuber initiation onset (DAP)", "Time when plant reach its maximum canopy cover (DAP)", "Harvest day (DAP)", "Approximate value of the maximum canopy cover (fraction)", "Yield at 70 DAP (t/ha)", "Yield at harvest day (t/ha)", "Dry matter concentration (%)")
y2 <- c("25", "60", "11th November", "12", "35", "60", "90", "0.92", "28", "35", "22.50")
y3 <- c("25", "60", "11th November", "14", "35", "60", "90", "0.85", "25", "32", "21.54")

tb <- data.frame(y1, y2, y3)
colnames(tb) <- c("DESCRIPTION", "BARI-ALU72", "BARI-ALU78")

knitr::kable(tb, caption = "Table 1. Crop phenology information used as input to the SOLANUM Parameter Estimator tool for model calibration. DAP = Days after planting.")

```

<!-- Figure 01 -->
<a id="Figure01"></a>
<div style="text-align:center;">
  ![**Figura 1:** Parameter Estimator tool of the SOLANUM model.](https://github.com/jninanya/Ramirez-et-al-2024/blob/main/solanumR/Figures/Parameter-Estimator-Tool.png?raw=true){width=81%}
  <p style="margin-bottom: 10px;"></p> <!-- Add some space below the image caption -->
</div>

The Parameter Estimated tool was run with using information about crop phenology from literature (Mahmud et al. 2021, Islam et al. 2022) and from expert knowdledge (R. Ebna and H. Monower; personal comunication; 6 February 2024). Values of the crop parameters for both varieties were saved in `CropParamsList.Rdata`. Let's see them in the following R chunk code:

```{r crop-parameters-database, results='show', collapse = TRUE}
load(url("https://github.com/jninanya/Ramirez-et-al-2024/raw/main/solanumR/CropParamsList.Rdata"))

CropParamsList$BariAlu72

CropParamsList$BariAlu78
```

## Determination of optimum planting date

## Determination of potential yields

```{r}

#-------------------------------------------------------------------------------
# 5. Historical yield at 80 and 90 DAP 
#-------------------------------------------------------------------------------
# consider 20 years
nyears <- 2000:2019

swgDates <- c("2021-12-20", "2021-12-12", "2021-12-20", "2021-12-12",
              "2022-12-14", "2022-12-31", "2022-12-14", "2022-12-31")
hvtDates <- c("2022-03-27", "2022-03-27", "2022-03-27", "2022-03-27",
              "2023-03-16", "2023-03-16", "2023-03-16", "2023-03-16")
hvtDAP <- c(97, 105, 97, 105, 92, 75, 92, 75)

CP <- CropParamsList[c("BariAlu72", "BariAlu78")]
CParams <- list(CP[[1]], CP[[1]], CP[[2]], CP[[2]], 
                CP[[1]], CP[[1]], CP[[2]], CP[[2]])  
emgDays <- c(12, 12, 14, 14, 12, 12, 14, 14)

wdata <- as.data.frame(wdata)

o1 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))
o2 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))
o3 <- as.data.frame(matrix(nrow = length(nyears), ncol = 8))

cname <-   c("ZTV1S1", "CTV1S1", "ZTV2S1", "CTV2S1",
             "ZTV1S2", "CTV1S2", "ZTV2S2", "CTV2S2")

colnames(o1) <- colnames(o2) <- colnames(o3) <- cname
rownames(o1) <- rownames(o2) <- rownames(o3) <- nyears

for(i in 1:length(nyears)){
  
  for(j in 1:8){
    
    swg <- swgDates[j]
    hvt <- hvtDates[j]
    weather <- wdata
    sowing <- paste(nyears[i], month(swg), day(swg), sep = "-")
    #harvest <- paste(nyears[i]+1, month(hvt), day(hvt), sep = "-")
    harvest <- as.Date(sowing) + hvtDAP[j]
    EDay <- emgDays[j]
    plantDensity = 12.5
    CropParams <- CParams[[j]]
    
    res <- SolanumModel(weather, sowing, harvest, EDay,plantDensity, CropParams)
    nn <- nrow(res)
    o1[i, j] <- as.character(res$date[1])
    o2[i, j] <- round(res$fty[nn], 1)
    o3[i, j] <- round(res$tdm[nn], 1)
    
  }
}

c1 <- list(date = o1, fty = o2, tdm = o3)


#-------------------------------------------------------------------------------
# 9. Final plot
#-------------------------------------------------------------------------------
# general plot settings
par(oma    = c(3.0, 4.2, 2.0, 4.2),  # general margins
    mfrow  = c(1, 2),                # number of sub-figures
    mar    = c(0.8, 0.1, 0.1, 0.1),  # margins per sub-figure
    ps     = 10,                     # text font size
    family = "serif",                # text family
    lwd    = 1.0,                    # line width
    las    = 1,                      # style of axis labels  
    pch    = 20                      # plotting points
)

xT <- c(10, 25, 40, 55, 71, 86)
xL <- c("10-Nov", "25-Nov", "10-Dec", "25-Dec", "10-Jan", "25-Jan")

# sub-figure A
b1 = boxplot(c1$fty[, 1:2], xlim = c(0.5,4.7), ylim = c(28, 47), 
             at = 1:2, axes = FALSE, boxwex = 0.6)
b2 = boxplot(c1$fty[, 3:4], add = TRUE, at = c(3.2, 4.2), 
             axes = FALSE, boxwex = 0.6)
box()
axis(side = 2)
mtext(side = 2, text = bquote("YP (t ha"^{-1}*")"), las = 0, 
      line = 2.4, cex = 1.2)
text(x = 0.5+0.025*(4.7-0.5), y = 47-0.050*(47-28), 
     labels = bquote(bold("A)")))

axis(side = 1, at = c(1,2,3.2,4.2), 
     labels = c("ZT_BA72", "CT_BA72", "ZT_BA78", "CT_BA78"), cex.axis = 1.2)


# sub-figure B
b1 = boxplot(c1$fty[, 5:6], xlim = c(0.5,4.7), ylim = c(28, 47), 
             at = 1:2, axes = FALSE, boxwex = 0.6)
b2 = boxplot(c1$fty[, 7:8], add = TRUE, at = c(3.2, 4.2), 
             axes = FALSE, boxwex = 0.6)
box()
axis(side = 4) 
mtext(side = 4, text = bquote("YP (t ha"^{-1}*")"), las = 0, 
      line = 3.0, cex = 1.2)
text(x = 0.5+0.025*(4.7-0.5), y = 47-0.050*(47-28), 
     labels = bquote(bold("B)")))

axis(side = 1, at = c(1,2,3.2,4.2), 
     labels = c("ZT_BA72", "CT_BA72", "ZT_BA78", "CT_BA78"), cex.axis = 1.2)







```



## Survey data collection

```{r}

################################################################################
# 3. Thermal time computing
################################################################################
year0 = 2000
year1 = 2022
n <- as.Date("2023-01-31")-as.Date("2022-11-01")+1
m <- year1-year0+1

#wdata <- wdata[wdata$YEAR>=year0 & wdata$YEAR<=year1,]

out0 <- as.data.frame(matrix(nrow = n, ncol = m))
out1 <- as.data.frame(matrix(nrow = n, ncol = m))
out2 <- as.data.frame(matrix(nrow = n, ncol = m))
yy = seq(year0, year1, by = 1)

# load extra functions




weather <- wdata

#for(jj in 1:m){
#  
#  date0 = as.Date(paste0(yy[jj], "-11-01"))-1
#  
#  for(ii in 1:n){
#  
#    
#    sDate = as.Date(date0 + ii)
#    sDate.name = paste(month(sDate), day(sDate), sep = "-")
#    out0[ii, jj] = as.character(sDate)
#    
#    sowing = sDate
#    harvest = sowing + 90
#    ndays = as.numeric(harvest-sowing)+1
#    
### variety Bari Alu 72    
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/BARI-Alu-72.R")
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/Module_PotentialGrowth_V2.0.R")
#    
#    out1[ii, jj] = ifelse(df$fty[ndays]>20, df$fty[ndays], NA)
#    
### variety Bari Alu 78
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/BARI-Alu-78.R")
#    source("https://raw.githubusercontent.com/jninanya/Ramirez-et-a#l-2024/main/solanumR/Module_PotentialGrowth_V2.0.R")
#    
#    out2[ii, jj] = ifelse(df$fty[ndays]>20, df$fty[ndays], NA)
#    
#    rownames(out0)[ii] = sDate.name
#    rownames(out1)[ii] = sDate.name
#    rownames(out2)[ii] = sDate.name
#  }
#  
#  colnames(out0)[jj] = yy[jj]
#  colnames(out1)[jj] = yy[jj]
#  colnames(out2)[jj] = yy[jj]
#  
#}

#d1 <- out1
#d2 <- out2
#
#boxplot(t(d1), col = "green", outline = FALSE, las=1,
#        ylab = "potential yield (t/ha)")
#
#boxplot(t(d2), col = "red", outline = FALSE, las=1,
#        ylab = "potential yield (t/ha)")
#
#
### plot fty by planting date
#x <- 1:92
#fty_mean <- apply(out1, 1, mean, na.rm = TRUE)
#fty_q10 <- apply(out1, 1, quantile, probs = 0.10, na.rm = TRUE)
#fty_q90 <- apply(out1, 1, quantile, probs = 0.90, na.rm = TRUE)
#
#
##--------------------------------------------------
##--------------------------------------------------
#### General figure settings
#par(oma = c(4, 1, 0.5, 0.5),  # general margins
#    mfrow = c(2, 1),              # number of sub-figures
#    mar = c(0,3,0,0),           # margins per sub-figure
##    ps = 10,                      # text font size
#    family = "serif"              # text family
##    lwd = 0.5,                    # line width
##    las = 1,                      # style of axis labels
##    pch = 20                      # plotting points
#)
#
#x=1:90
#y1=d1$`2021`[1:90]
#y2=d2$`2021`[1:90]
#plot(x, y1, type = "l", xlim = c(1,92), ylim = c(23,57), 
#     xlab = "", ylab = "potential yield (t/ha)", axes = FALSE, 
#     lwd = 2)
#box()
#lines(x, y2, lwd = 2, col = "gray50")
#
##axis(1, at = c(5,15,25,35,45,55,66,76,86), las = 2,
##     labels = c("5-nov","15-nov","25-nov","5-dec","15-dec","25-dec#","5-jan","15-jan","25-jan"))
##axis(1, las = 1, at = seq(5, 90, by=10))
#axis(2, las = 1, at=seq(25,55,by=5))
#abline(v=50, lty = 2, col = "blue")
#abline(v=74, lty = 2, col = "blue")
#
#text(47, 55.5, "ZT", col = "blue")
#text(71, 55.5, "CT", col = "blue")
#
#text(0, 55.5, expression(bold("A")))
#mtext(side=2, text=bquote("yield (t ha"^{"-1"}*")"), cex = 1.5, #line = 2.4)
#
####
#x=1:85
#y1=d1$`2022`[1:85]
#y2=d2$`2022`[1:85]
#plot(x, y1, type = "l", xlim = c(1,92), ylim = c(23,52), 
#     xlab = "", ylab = "potential yield (t/ha)", axes = FALSE, 
#     lwd = 2)
#box()
#lines(x, y2, lwd = 2, col = "gray50")
#
#axis(1, at = c(5,15,25,35,45,55,66,76,86), las = 2,
#     labels = c("05-nov","15-nov","25-nov","05-dec","15-dec","25-de#c","05-jan","15-jan","25-jan"))
##axis(1, las = 1, at = seq(5, 90, by=10))
#axis(2, las = 1, at=seq(25,50,by=5))
#abline(v=44, lty = 2, col = "blue")
#abline(v=62, lty = 2, col = "blue")
#
#text(41, 51, "ZT", col = "blue")
#text(59, 51, "CT", col = "blue")
#
#text(0, 51, expression(bold("B")))
#
#mtext(side=2, text=bquote("yield (t ha"^{"-1"}*")"), cex = 1.5, #line = 2.4)
#









```

## Stochastic Frontier Analysis


## References

1. [Harahagazwe et al. (2018)](#Harahagazwe-et-al-2018)




```{r, echo=FALSE, results='hide'}
# Knit index.Rmd two times
file.copy(from = "./index.html", to = "../docs/", overwrite = TRUE)            
```








